4(y-1)-(y+2)=5y

Solution for 4(y-1)-(y+2)=5y equation:

Simplifying
4(y + -1) + -1(y + 2) = 5y

Reorder the terms:
4(-1 + y) + -1(y + 2) = 5y
(-1 * 4 + y * 4) + -1(y + 2) = 5y
(-4 + 4y) + -1(y + 2) = 5y

Reorder the terms:
-4 + 4y + -1(2 + y) = 5y
-4 + 4y + (2 * -1 + y * -1) = 5y
-4 + 4y + (-2 + -1y) = 5y

Reorder the terms:
-4 + -2 + 4y + -1y = 5y

Combine like terms: -4 + -2 = -6
-6 + 4y + -1y = 5y

Combine like terms: 4y + -1y = 3y
-6 + 3y = 5y

Solving
-6 + 3y = 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-6 + 3y + -5y = 5y + -5y

Combine like terms: 3y + -5y = -2y
-6 + -2y = 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -2y = 0

Add '6' to each side of the equation.
-6 + 6 + -2y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 0 + 6
-2y = 0 + 6

Combine like terms: 0 + 6 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3